If you've ever seen the inside of a grand piano, you may notice that the 'non voiced' portion of the strings are all interwoven with ribbon (over and under, back and forth), something that not only deadens their sound, but also (with nice ribbon) could make the appearance more attractive.
Of course, this might be harder to do (especially to do nicely, if you constantly change strings) if you have individual string trees or such similar devices.